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AURORKA [14]
3 years ago
13

The equation of a circle is (x + 7)2 + (y + 2)2 = 49. determine the length of the diameter.

Mathematics
1 answer:
nlexa [21]3 years ago
8 0
Hello : 
the ridus is : <span>√49 =7
</span><span>the length of the diameter is : 2 ×7 =14</span>
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Which linear function represents the line given by the point-slope equation y + 7 = –2/3(x + 6)?
Nuetrik [128]

Answer:

<em>First option: </em> f(x)=-\frac{2}{3}x-11

Step-by-step explanation:

Given the point-slope equation y+7=-\frac{2}{3}(x+6), you need to solve for y, because you are looking for the equation of the line in slope-intercept form:

y=mx+b

Being m the slope of that line, and b the intersection of the line with the y-axis.

Then:

Apply Distributive property:

y+7=-\frac{2}{3}x-4

Subtract 7 from both sides:

y+7-(7)=-\frac{2}{3}x-4-(7)\\y=-\frac{2}{3}x-11

Rewrite the equation:

f(x)=-\frac{2}{3}x-11 (The linear function of the First option)

3 0
4 years ago
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Jeremiah plans on building a garden walkway 5 meters long with stones that measure 5/6 meter on each side. There will be no spac
marshall27 [118]

Answer: 6

Step-by-step explanation:

From the question, we are informed that Jeremiah plans on building a garden walkway 5 meters long with stones that measure 5/6 meter on each side.

The number of stones that are need would be gotten by dividing 5 by 5/6. This would be:

= 5 ÷ 5/6

= 5 × 6/5

= 30/5

= 6

Therefore, the answer is 6.

4 0
3 years ago
Mary bought K stamps for 3 dollars. How much does one stamp cost?
Bas_tet [7]

Answer: 3/K

Step-by-step explanation:

From the question, we are informed that Mary bought K stamps for 3 dollars and we are told to find the cost of one stamp.

Number of stamps bought = K

Cost of K stamps bought = 3 dollars

Cost of ones stamp = Cost of stamps bought ÷ Number of stamps bought

= 3/K

Therefore, the cost of one stamp is 3/K

7 0
4 years ago
Find the value of x in this figure
MArishka [77]
Answer: 35
Each triangle adds up to 180 degrees by adding the two angles that you already have the value of (37+108) and subtract it from 180 to get the final angle(x) you get 35

Therefore x=35 :)
3 0
3 years ago
Simplify to create an equivalent expression.<br> 2 – 4(5p + 1)
Ganezh [65]

Answer:

A. -20p - 2

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Distributive Property

<u>Algebra I</u>

  • Combining Like Terms

Step-by-step explanation:

<u>Step 1: Define</u>

2 - 4(5p + 1)

<u>Step 2: Simplify</u>

  1. Distribute -4:                    2 - 20p - 4
  2. Combine like terms:        -20p - 2
6 0
3 years ago
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